956964480 has 128 divisors (see below), whose sum is σ = 3059363520. Its totient is φ = 254435328.

The previous prime is 956964467. The next prime is 956964497. The reversal of 956964480 is 84469659.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1003684 + ... + 1004636.

Almost surely, 2^956964480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529681760).

956964480 is an abundant number, since it is smaller than the sum of its proper divisors (2102399040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

956964480 is a wasteful number, since it uses less digits than its factorization.

956964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 956964480 is about 30934.8424919216. The cubic root of 956964480 is about 985.4439768907.

The spelling of 956964480 in words is "nine hundred fifty-six million, nine hundred sixty-four thousand, four hundred eighty".